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1. Some Consequences Of Martin S Axiom And The Negation Of The
Some consequences of Martin s axiom and the negation of the Continuum hypothesis. Juichi Shinoda. Source Nagoya Math. J. Volume 49 (1973), 117125.
http://projecteuclid.org/handle/euclid.nmj/1118798877

2. JSTOR Higher Souslin Trees And The Generalized Continuum Hypothesis.
Generalized Martin s axiom and Souslin s hypothesis for higher cardinals. axiom (MA) together with the negation of the Continuum hypothesis (CH) implies

3. PlanetMath: A Shorter Proof: Martin's Axiom And The Continuum Hypothesis
This is version 8 of a shorter proof Martin s axiom and the Continuum hypothesis, born on 200308-24, modified 2004-03-15.
http://planetmath.org/encyclopedia/SomethingRelatedToMartinsAxiomAndTheContinuum

4. A Shorter Proof: Martin's Axiom And The Continuum Hypothesis
This is another, shorter, proof for the fact that always holds. Let be a partially ordered set and be a collection of subsets of P. We remember
http://nsdl.org/resource/2200/20061003062432262T

5. Book's Preface
The book is finished with Section 9.5 in which it is proved the simultaneous consistency of Martin s axiom and the negation of Continuum hypothesis.
http://www.math.wvu.edu/~kcies/Preface.html

6. Uri Abraham
Assuming the Continuum hypothesis there is an inseparable sequence of length $\omega_1$ that contains no Lusin subsequence, while if Martin s axiom and
http://www.cs.bgu.ac.il/~abraham/math.html

7. Springer Online Reference Works
The existence of a Luzin space on the real line follows from the Continuum hypothesis. From the negation of the Continuum hypothesis and Martin s axiom (cf.
http://eom.springer.de/l/l061110.htm

8. Hilbert's First And Second Problems And The Foundations Of Mathematics By Peter
D.H. Fremlin, Consequences of Martin s axiom, Cambridge University Press, 1984. inter alia, why Gödel believed the Continuum hypothesis to be dubious
http://at.yorku.ca/t/a/i/c/52.htm

9. CiteULike: Axioms Of Symmetry: Throwing Darts At The Real Number Line
We will also show why Martin s axiom must be false, and we will prove the extension of proof of the negation of Cantor s Continuum hypothesis (CH).
http://www.citeulike.org/user/rwebb/article/2088308

10. Topics In Discovering Modern Set Theory. II.
Applications of the Continuum hypothesis. Luzin sets and Sierpinski sets. Martin s axiom. Consistency of the Suslin hypothesis. Solovay s Lemma.
http://www.math.ohiou.edu/~just/anno2.html

11. Axiomatic Set Theory: Encyclopedia II - Axiomatic Set Theory - Independence In Z
The constructible universe satisfies the Generalized Continuum hypothesis, the Diamond Principle, Martin s axiom and the Kurepa hypothesis.
http://www.experiencefestival.com/a/Axiomatic_set_theory_-_Independence_in_ZFC/i

12. Topology And Forcing V I Malykhin RUSS MATH SURV, 1983, 38 (1), 77
5, Cohen P J, Set theory and the Continuum hypothesis, (W. A. Benjamin, 9, Malykhin V I, The equivalence of Martin s axiom and a purely topological
http://www.turpion.org/php/reference.phtml?journal_id=rm&paper_id=3382&volume=38

13. Paul Joseph Cohen (American Mathematician) -- Britannica Online Encyclopedia
axiom of choice and Continuum hypothesis. Two phenomenological studies by major philosophers are Martin More results
http://www.britannica.com/eb/topic-124547/article-9085726

14. Reflexive Subgroups Of The Baer-Specker Group And Martin's Axiom
models of set theory, respectively of the special Continuum hypothesis (CH). We will use Martin s axiom to find reflexive modules with the above

15. PlanetMath 2007-06-18 Snapshot: G
generic (defined in a shorter proof Martin s axiom and the Continuum hypothesis). generic generically (defined in generic). generic manifold
http://202.41.85.103/manuals/planetmath/G.html

16. \documentclass{article} \usepackage{amssymb} \begin{document} Both
\documentclass{article} \usepackage{amssymb} \begin{document} Both the Continuum hypothesis and Martin s axiom allow inductive constructions to continue in
http://basilo.kaist.ac.kr/API/?MIval=db_jour_tex&con=110666

17. JSTOR Martin S Axiom And The Continuum
The Continuum hypothesis (CH) says that every infinite set of reals .. MARTIN S axiom and THE Continuum 379 is finite, while if kVA then X n Cfl+k is
http://dx.doi.org/10.2307/2275837

18. Re: Continuum Hypothesis
If one DENIES the Continuum hypothesis, and ZF+MA is consistent with not AC Since the proof given uses Martin s axiom and not the stronger CH,
http://sci.tech-archive.net/Archive/sci.logic/2007-08/msg00397.html

19. Front: [math.LO/9807178] Lusin Sequences Under CH And Under Martin's Axiom
Abstract Assuming the Continuum hypothesis there is an inseparable sequence of length omega_1 that contains no Lusin subsequence, while if Martin s axiom
http://front.math.ucdavis.edu/9807.5178

20. Seminari De Lògica De Barcelona. Sesions Anteriors
Omegalogic and the Continuum hypothesis; 17.03.99 Josep Maria Font The bounded Martin s axiom; 21.10.98 Joan Bagaria (Universitat de Barcelona)
http://www.ub.es/slb/Past.html

21. Sachgebiete Der AMS-Klassifikation: 00-09
ordinal definability, and related notions 03E47 Other notions of settheoretic definability 03E50 Continuum hypothesis and Martin s axiom,
http://www.math.fu-berlin.de/litrech/Class/ams-00-09.html

22. IngentaConnect Residual Measures In Locally Compact Spaces
Results on the influence of Martin s axiom and the Continuum hypothesis on the existence of residual and normal measures in locally compact spaces are
http://www.ingentaconnect.com/content/els/01668641/2000/00000108/00000003/art001

23. 03Exx
03E50, Continuum hypothesis and Martin s axiom. 03E55, Large cardinals. 03E60, Determinacy principles. 03E65, Other hypotheses and axioms
http://www.impan.gov.pl/MSC2000/03Exx.html

24. Citebase - Lusin Sequences Under CH And Under Martin's Axiom
Assuming the Continuum hypothesis there is an inseparable sequence of length omega1 that contains no Lusin subsequence, while if Martin s axiom and the
http://www.citebase.org/cgi-bin/citations?id=oai:arXiv.org:math/9807178

25. CMS - Search Journals
Todorcevic, Stevo , Remarks on Martin s axiom and the Continuum hypothesis , Canadian Journal of Mathematics, Vol 43, No , 832-851.
http://www.journals.cms.math.ca/cgi-bin/vault/search?_query=martin&journal=C

26. The Continuum Hypothesis
Cohen used a technique called forcing to prove the independence in set theory of the axiom of choice and of the generalised Continuum hypothesis.
http://www.humboldt.edu/~mef2/Courses/m446s02n2.html

27. HeiDOK
03E50 Continuum hypothesis and Martin s axiom ( 0 Dok. ) 03E55 Large cardinals ( 0 Dok. ) 03E60 Determinacy principles ( 0 Dok.
http://archiv.ub.uni-heidelberg.de/volltextserver/msc_ebene3.php?zahl=03E&anzahl

28. News | TimesDaily.com | TimesDaily | Florence, Alabama (AL)
The Continuum hypothesis and the axiom of choice were among the first Martin, D. (1976). Hilbert s first problem the Continuum hypothesis, in
http://www.timesdaily.com/apps/pbcs.dll/section?category=NEWS&template=wiki&text

29. Infinite Ink: The Continuum Hypothesis By Nancy McGough
4.3.2.1 Martin s axiom A Weak Version of CH; 4.3.2.3 The Singular Cardinal hypothesis . AC, The axiom of Choice. CH, The Continuum hypothesis
http://www.ii.com/math/ch/

30. Sci.math FAQ: The Continuum Hypothesis
sci.math FAQ The Continuum hypothesis Various forcing axioms (e.g. Martin s axiom), which are maximality principles (in the sense of (2) above),
http://www.faqs.org/faqs/sci-math-faq/AC/ContinuumHyp/

31. Martin's Axiom - Wikipedia, The Free Encyclopedia
In the mathematical field of set theory, Martin s axiom, named after Donald A. Martin MA together with the negation of the Continuum hypothesis implies
http://en.wikipedia.org/wiki/Martin's_axiom

32. The Continuum Hypothesis
Various forcing axioms (e.g. Martin s axiom), which are maximality principles (in the Nancy McGough s *Continuum hypothesis article* or its *mirror*.
http://www.cs.uwaterloo.ca/~alopez-o/math-faq/node71.html

33. Math Forum - Ask Dr. Math
THE Continuum hypothesis A basic reference is Godel s What is Cantor s Continuum Various forcing axioms (e.g. Martin s axiom), which are maximality
http://mathforum.org/library/drmath/view/51437.html

34. [math/0009062] Reflexive Subgroups Of The Baer-Specker Group And Martin's Axiom
455, Problem 12) under the set theoretical hypothesis of We will use Martin s axiom to find reflexive modules with the above decomposition which are
http://arxiv.org/abs/math/0009062

35. [FOM] Continuum Hypothesis
1) Do you believe that the Continuum hypothesis is true, or false? . of Martin s Maximum or axiom (*), but the arguments themselves use distinct
http://cs.nyu.edu/pipermail/fom/2003-May/006611.html

36. 03E: Set Theory
Natural axioms which imply the negation of Continuum hypothesis; How does (Set Theory axiom) V=L prove the Continuum hypothesis?
http://www.math.niu.edu/~rusin/known-math/index/03EXX.html

37. Wiki Martin S Axiom
Martin, is a statement which is independent of the usual axioms of ZFC set theory. It is implied by the Continuum hypothesis, so certainly consistent with
http://wapedia.mobi/en/Martin's_axiom

38. Logic Seminar In Semester I AY 2007/2008
Martin s axiom arose from the consistency problem for Souslin s hypothesis and it relates closely with iterated forcing. Souslin s hypothesis (SH) states
http://www.comp.nus.edu.sg/~fstephan/logicseminar.html

39. Piotr Koszmider's Web Page
Making a special settheoretic assumption like the Continuum hypothesis or Martin s axiom we construct an example of Mrówka s space (i.e., obtained from an
http://www.ime.usp.br/~piotr/cv/ativpas12004e.html

40. Andy's Math/CS Page
Assuming the Continuum hypothesis is false, where does the threshold lie? On the other hand, Martin s axiom, which is independent of CH,
http://andysresearch.blogspot.com/

41. EULER Record Details
Subject, Lusin sequence; Martin s axiom; Continuum hypothesis. MSC, 03E05; 03E50; 03E35. Type, Text.Article. Record Source, Zentralblatt MATH
http://www.emis.de/projects/EULER/detail?ide=2001abralusisequunde&matchno=2&matc

42. ScienceDirect - Expositiones Mathematicae : On Extensions Of Partial Functions
Assume the Continuum hypothesis (or, more generally, Martin s axiom). Let fR R be a partial function. The following two assertions are equivalent

The Continuum hypothesis A basic reference is Godel s What is Cantor s Continuum Various forcing axioms (e.g. Martin s axiom), which are maximality
http://linas.org/mirrors/nntp/sci.math/faq.continuum.html

44. List
We show in particular that under Martin s axiom there is compact $X$ with $X =c$ carrying Abstract Assuming the Continuum hypothesis, we show that
http://www.math.uni.wroc.pl/~grzes/abs.htm

45. Papers.html
The second paper introduces a maximally strong forcing axiom Martin s Maximum Counterexamples to the Continuum hypothesis, (joint with M. Magidor),
http://www.math.uci.edu/personnel/Foreman/homepage/newpapers.html

46. Sci.math FAQ: The Continuum Hypothesis
The Continuum hypothesis A basic reference is Godel s What is Cantor s Continuum Various forcing axioms (eg Martin s axiom), which are maximality
http://faqs.cs.uu.nl/na-dir/sci-math-faq/continuum.html

47. Tree Structure Of LoLaLi Concept Hierarchy Updated On 2004624
393 Martin s axiom . . . . 382 Continuum hypothesis g . . . . Not 379 cardinal number . . . Par 216 abstract model theory + . . . . 254 quantifier (5) + g .
http://remote.science.uva.nl/~caterina/LoLaLi/soft/ch-data/tree.txt

48. Sci.math FAQ: The Continuum Hypothesis
Subject sci.math FAQ The Continuum hypothesis Various forcing axioms (eg Martin s axiom), which are maximality principles (in the sense of (2)
http://www.uni-giessen.de/faq/archiv/sci-math-faq.ac.continuumhyp/msg00000.html

49. Todorcevic, Velickovic: Martin's Axiom And Partitions
KT K. Kunen and F. Tall Between Martin s axiom and Souslin s hypothesis. Fund. Math. 102 (1979) 173181. MS D. Martin and R. Solovay Internal Cohen
http://www.numdam.org/numdam-bin/fitem?id=CM_1987__63_3_391_0

50. Sci.math FAQ: The Continuum Hypothesis
sci.math FAQ The Continuum hypothesis Various forcing axioms (eg Martin s axiom), which are maximality principles (in the sense of (2) above),
http://doc.rz.ifi.lmu.de/FAQ/sci-math-faq/AC/ContinuumHyp/index.html

51. Solution To Continuum Hypothesis - Common Ascent
Cohen showed Continuum hypothesis is independent of axioms of ZFC. . Martin s Maximum or axiom (*), but the arguments themselves use distinct

52. Set Theory (Stanford Encyclopedia Of Philosophy)
The Continuum hypothesis; 4. Axiomatic Set Theory; 5. .. developed by D. A. Martin, Robert Solovay and others, brought together methods of, among others,
http://plato.stanford.edu/entries/set-theory/

53. OUP: UK General Catalogue
Iterated Boolean Extensions, Martin s axiom and Souslin s hypothesis. 7. BooleanValued Analysis. 8. Intuitionistic Set Theory and Heyting-Algebra-Valued
http://www.oup.com/uk/catalogue/?ci=9780198568520

54. Searching Cantor's Continuum Hypothesis
Results 1 to 3 for cantor s Continuum hypothesis (view as list tiles) teaching english, philosophical ethics, philosophy of math, axiom of choice,
http://ex.plode.us/search/cantor's continuum hypothesis

55. Oxford Scholarship Online: Set Theory
Keywords lattice, Boolean algebra, Heyting algebra, Booleanvalued model, Continuum hypothesis, ultrailter, axiom of choice, forcing, generic, category
http://www.oxfordscholarship.com/oso/public/content/maths/9780198568520/toc.html

56. Sci.math FAQ: The Continuum Hypothesis - Allanswers.org
sci.math FAQ The Continuum hypothesis . Article from category AC on site Various forcing axioms (eg Martin s axiom), which are maximality